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29343840 = 2535113541
BaseRepresentation
bin110111111110…
…0000001100000
32001012211011220
41233330001200
530003000330
62524535040
7504263361
oct157740140
961184156
1029343840
1115622509
1299b1480
136105426
143c7bb68
152899710
hex1bfc060

29343840 has 96 divisors (see below), whose sum is σ = 93423456. Its totient is φ = 7741440.

The previous prime is 29343829. The next prime is 29343841. The reversal of 29343840 is 4834392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×293438402 = 1722121891891200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29343841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53970 + ... + 54510.

It is an arithmetic number, because the mean of its divisors is an integer number (973161).

Almost surely, 229343840 is an apocalyptic number.

29343840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46711728).

29343840 is an abundant number, since it is smaller than the sum of its proper divisors (64079616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29343840 is a wasteful number, since it uses less digits than its factorization.

29343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 29343840 is about 5416.9954771995. The cubic root of 29343840 is about 308.4411511585.

The spelling of 29343840 in words is "twenty-nine million, three hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 541 565 678 904 1082 1130 1356 1623 1695 1808 2164 2260 2705 2712 3246 3390 3616 4328 4520 5410 5424 6492 6780 8115 8656 9040 10820 10848 12984 13560 16230 17312 18080 21640 25968 27120 32460 43280 51936 54240 61133 64920 86560 122266 129840 183399 244532 259680 305665 366798 489064 611330 733596 916995 978128 1222660 1467192 1833990 1956256 2445320 2934384 3667980 4890640 5868768 7335960 9781280 14671920 29343840